Package org.apache.commons.numbers.core

Interface Multiplication<T>

Type Parameters:
T - Type of elements.
All Known Subinterfaces:
NativeOperators<T>
All Known Implementing Classes:
BigFraction, DD, FP64, Fraction
public interface Multiplication<T>
Multiplication.

  • Method Summary

    Modifier and Type
    Method
    Description
    default boolean
    isOne()
    Check if this is a neutral element of multiplication, i.e.
    T
    multiply(T a)
    Binary multiplication.
    T
    one()
    Identity element.
    T
    reciprocal()
    Multiplicative inverse.

  • Method Details

    • multiply

      T multiply(T a)
      Binary multiplication.
      Parameters:
      a - Element.
      Returns:
      this * a.

    • one

      T one()
      Identity element.
      Returns:
      the field element such that for all a, one().multiply(a).equals(a) is true.

    • reciprocal

      T reciprocal()
      Multiplicative inverse.
      Returns:
      this-1.

    • isOne

      default boolean isOne()
      Check if this is a neutral element of multiplication, i.e. this.multiply(a) returns a or an element representing the same value as a.

      The default implementation calls equals(one()). Implementations may want to employ more a efficient method. This may even be required if an implementation has multiple representations of one and its equals method differentiates between them.

      Returns:
      true if this is a neutral element of multiplication.
      Since:
      1.2
      See Also: